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LCM of 563, 104, 803, 949

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 563, 104, 803, 949 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 563, 104, 803, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,104,803,949

Given numbers are 563,104,803,949

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 563,104,803,949 is 47017256.

Find LCM of 563,104,803,949 with Prime Factorization


13 563, 104, 803, 949
73 563, 8, 803, 73
563, 8, 11, 1

Multiply the prime numbers at the bottom and the left side.

13 x 73 x 563 x 8 x 11 x 1 = 47017256

Therefore, the lowest common multiple of 563,104,803,949 is 47017256.

LCM Formula to Find Lowest Common Multiple of 563,104,803,949

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

563 x 104 x 803 x 949 = 44619375944

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

563 : 1, 563

104 : 1, 2, 4, 8, 13, 26, 52, 104

803 : 1, 11, 73, 803

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,104,803,949, is 1.

Now, the common factors can be found like this.

563:563

104:2x 2x 2x 13

803:11x 73

949:13x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 73 = 949

Therefore, the value for common factors is 949.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 44619375944/(1x949)

LCM = 44619375944/949

LCM = 47017256

Thus, we can understand that the LCM of 563,104,803,949 is 47017256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 104, 803, 949

1. What is the LCM of 563, 104, 803, 949?

Answer: LCM of 563, 104, 803, 949 is 47017256.

2. How to calculate the LCM of 563, 104, 803, 949?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 563, 104, 803, 949.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.